Before sending this comment I pecked around the net for examples of gleaming LLM verse.
A few articles claimed human readers preferred AI-brewed poetry to the human stuff. I checked the examples. Clearly most of the people surveyed were underliterate -- the human poems were excellent and the AI poems just creepily bad and simplistic -- so the articles turned into sad and unwitting testament about the state of our culture.
Maybe if you expertly LLM prompt your way to a highly abstract poem, over several iterations you might land something that has some actual feel to it, but even then that might owe more to your prompting talent than the LLM's skill. You could do the same with dice and a dictionary. (Is prompting is essentially editing?)
Please, show me otherwise. If faced with strong contrary evidence, I will be forced to change my mind.